An Introduction to Partial Differential Equations (with Maple)

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The book is designed for undergraduate or beginning level graduate students, and students from interdisciplinary areas including engineers, and others who need to use partial differential equations, Fourier series, Fourier and Laplace transforms. The prerequisite is a basic knowledge of calculus, linear algebra, and ordinary differential equations. The textbook aims to be practical, elementary, and reasonably rigorous; the book is concise in that it describes fundamental solution techniques for first order, second order, linear partial differential equations for general solutions, fundamental solutions, solution to Cauchy (initial value) problems, and boundary value problems for different PDEs in one and two dimensions, and different coordinates systems. Analytic solutions to boundary value problems are based on Sturm–Liouville eigenvalue problems and series solutions. The book is accompanied with enough well tested Maple files and some Matlab codes that are available online. The use of Maple makes the complicated series solution simple, interactive, and visible. These features distinguish the book from other textbooks available in the related area. Sample Chapter(s) Preface Chapter 1: Introduction Chapter 2: First order partial differential equations Request Inspection Copy Contents: Preface Introduction First Order Partial Differential Equations Solution to One-Dimensional Wave Equations Orthogonal Functions & Expansions, and Sturm-Liouville Theory Method of Separation Variables for Solving PDE BVPs in Cartesian Coordinates Various Fourier Series, Properties and Convergence Series Solutions of PDEs of Boundary Value Problems Fourier and Laplace Transforms Numerical Solution Techniques Appendices A: ODE Review and Other Useful Information Appendices B: Introduction to Maple Bibliography Index Readership: Undergraduate, beginning level mathematics/physics graduate students, students from interdisciplinary areas and engineering.

An Introduction to Nonlinear Partial Differential Equations 2/ e 2008 (JW) 978-0-470-22596-0 2/E 2008 <JW> (2版)

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書名: An Introduction to Nonlinear Partial Differential Equations 作者: J.D.LOGAN 版次: 2/E 出版日期: 2008年1月 ISBN: 9780470225950 出版社: Wiley

Partial Differential Equations: An Introduction (2版)

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Partial Differential Equations: An Introduction 2/e +作者：Strauss +年份：2008 年2 版 +ISBN：9780470054567 +書號：MA0461H +規格：精裝/單色 +頁數：464 +出版商：John Wiley 簡介 Numerous exercises, some easy, some difficult. 目錄 Chapter 1/Where PDEs Come From Chapter 2/Waves and Diffusions Chapter 3/Reflections and Sources Chapter 4/Boundary Problems Chapter 5/Fourier Series Chapter 6/Harmonic Functions Chapter 7/Green’s Identities and Green’s Functions Chapter 8/Computation of Solutions Chapter 9/Waves in Space Chapter 10/Boundaries in the Plane and in Space Chapter 11/General Eigenvalue Problems Chapter 12/Distributions and Transforms Chapter 13/PDE Problems from Physics Chapter 14/Nonlinear PDEs Appendix A.1 Continuous and Differentiable Functions A.2 Infinite Series of Functions A.3 Differentiation and Integration A.4 Differential Equations A.5 The Gamma Function References Answers and Hints to Selected Exercises